3x + 3y + x² - y²/x + y =?
- x+y+3
- x−y+3
- x+y−3
- x−y−3
Explanation
Factor wherever possible:
3x + 3y + x^2 - y^2 = 3 x=y) + ( x^2-y^2)
Factor x^2−y^2 as a difference of squares:
x^2 - y^2 = (x-y) (x+y)
So the numerator becomes:
3(x+y)+(x−y)(x+y)=(x+y)(3+(x−y))=(x+y)(x−y+3)
Divide by x+y:
(x+y)(x−y+3)/x+y=x−y+3
Simplified expression:
x−y+3
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